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Finding the Fourth Proportional to 235,352.91, 352,830.95 and 102,132.82

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Solution

The fourth proportional to 235,352.91, 352,830.95 and 102,132.82 is: 153,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,352.91 : 352,830.95 = 102,132.82 : x
  2. Step 2: Convert to fraction form
    235,352.91/352,830.95 = 102,132.82/x
  3. Step 3: Cross multiply
    235,352.91x = 352,830.95 × 102,132.82
  4. Step 4: Simplify right side
    235,352.91x = 36,035,619,906.78
  5. Step 5: Solve for x
    x = 36,035,619,906.78/235,352.91
  6. Step 6: Final answer
    x = 153,113.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.